• 文献标题:   Quantum scar and breakdown of universality in graphene: A theoretical insight
  • 文献类型:   Article
  • 作  者:   IYAKUTTI K, RAJESWARAPALANICHAMY R, SURYA VJ, KAWAZOE Y
  • 作者关键词:   graphene, dirac fermion, breakdown, universality, quantum scar, zitterbewegung
  • 出版物名称:   INTERNATIONAL JOURNAL OF MODERN PHYSICS B
  • ISSN:   0217-9792 EI 1793-6578
  • 通讯作者地址:   SRM Univ
  • 被引频次:   0
  • DOI:   10.1142/S0217979217502575
  • 出版年:   2017

▎ 摘  要

Graphene has brought forward a lot of new physics. One of them is the emergence of massless Dirac fermions in addition to the electrons and these features are new to physics. In this theoretical study, the signatures for quantum scar and the breakdown of universality in graphene are investigated with reference to the presence of these two types of fermions. Taking the graphene quantum dot (QD) potential as the confining potential, the radial part of Dirac equations are solved numerically. Concentrations of the two component eigen-wavefunctions about classical periodic orbits emerge as the signatures for the quantum scar. The sudden variations, in the ratio of the radial wave functions (large and small components), R(g/f), with mass ratio are the signatures for breakdown of universality in graphene. The breakdown of universality occurs for the states k = -1 and k = 1, and the state k = -1 is more susceptible to the breakdown of universality.